19138400 has 72 divisors (see below), whose sum is σ = 47809440. Its totient is φ = 7477760.

The previous prime is 19138381. The next prime is 19138409. The reversal of 19138400 is 483191.

It is a super-3 number, since 3×19138400³ (a number of 23 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 19138400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19138409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37346 + ... + 37854.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^19138400 is an apocalyptic number.

19138400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904720).

19138400 is an abundant number, since it is smaller than the sum of its proper divisors (28671040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19138400 is a wasteful number, since it uses less digits than its factorization.

19138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 19138400 is about 4374.7457068954. The cubic root of 19138400 is about 267.4865046908.

The spelling of 19138400 in words is "nineteen million, one hundred thirty-eight thousand, four hundred".